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Finding the Fourth Proportional to 189,205.66, 283,807.14 and 56,086.48

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Solution

The fourth proportional to 189,205.66, 283,807.14 and 56,086.48 is: 84,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,205.66 : 283,807.14 = 56,086.48 : x
  2. Step 2: Convert to fraction form
    189,205.66/283,807.14 = 56,086.48/x
  3. Step 3: Cross multiply
    189,205.66x = 283,807.14 × 56,086.48
  4. Step 4: Simplify right side
    189,205.66x = 15,917,743,481.47
  5. Step 5: Solve for x
    x = 15,917,743,481.47/189,205.66
  6. Step 6: Final answer
    x = 84,129.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.